{
  "annotation_id": "da458610-68f2-4217-9012-a1d8f793cf7a",
  "date_created": "2026-03-02T18:02:34.171000Z",
  "date_modified": "2026-03-02T18:02:34.171000Z",
  "file_hash": "322ceea2f90def473aaae9b3fa5904a41bcfd1963313d1d0d7580ab4512b1e3b",
  "private": false,
  "record": {
    "abstract": "We first rewrite the perturbation expansion of the time evolution operator\n[An Min Wang, quant-ph/0611216] in a form as concise as possible. Then we\nderive out the perturbation expansion of the time-dependent complete Green\noperator and prove that it is just the Fourier transformation of the Dyson\nequation. Moreover, we obtain the perturbation expansion of the complete\ntransition amplitude in the Feynman path integral formulism, and give an\nintegral expression that relates the complete transition amplitude with the\nunperturbed transition amplitude. Further applications of these results can be\nexpected and will be investigated in the near future.",
    "arxiv_id": "quant-ph/0612068",
    "authors": [
      "An Min Wang"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other"
    ],
    "title": "Quantum mechanics in general quantum systems (IV): Green operator and   path integral",
    "url": "https://arxiv.org/abs/quant-ph/0612068"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "71030688-9c57-4275-a024-b98f059f02c4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}